摘要
随着智慧城市的发展,电动汽车渗透率不断提高,加剧了电力网和交通网在时间和空间上的深度耦合。在该背景下,该文致力于研究电力–交通网的时–空耦合机理和建模问题,提出合理数学框架以描述两网互相作用达到的动态均衡状态。对于交通网,采用双向波动态模型描述交通流随时间和空间的演变过程;基于此,提出动态充电站模型以捕捉电动汽车的充电排队过程。其次,引入有限维变分不等式,定义含电动汽车及其他汽车不同决策的混合动态用户均衡。对于配电网,采用基于二阶锥松弛的交流最优潮流模型,推导在含充电负荷情况下的强对偶条件以保证节点边际电价的准确性。最后,基于不动点映射理论,分析耦合网络流量的动态均衡机理并设计不动点迭代算法求解。仿真算例验证所提模型、框架及求解算法的有效性。
With the development of smart cities, the increasing penetration of electric vehicles has intensified the deep coupling of power grid and transportation networks in time and space. Against this background, this paper studied the mechanism of the temporal and spatial coupling of power-transportation network, and proposed a proper mathematical framework to describe the dynamic equilibrium state achieved by the interaction of the two networks. In the transportation network, a bi-directional wave dynamic model was applied to characterize the spatial and temporal variations in traffic flows. On this basis, a dynamic charging station model was proposed to capture the charging and queuing of electric vehicles. Then, finite-dimensional variational inequality was introduced to define the mixed dynamic user equilibrium, which included different decisions of electric vehicles and other vehicles. In the power distribution network,a second-order cone relaxation-based AC optimal power flow model was employed. To ensure the accuracy of nodal local marginal price, the strong duality condition was derived in the presence of electric vehicle’s charging load. Finally, based on the fixed-point mapping theory, the dynamic flow equilibrium mechanism of the coupled networks was analyzed, and a fixed-point iteration algorithm was developed to solve the problem. Simulation results verify the effectiveness of the proposed model, framework and algorithm.
作者
谢仕炜
胡志坚
王珏莹
XIE Shiwei;HU Zhijian;WANG Jueying(School of Electrical Engineering and Automation,Wuhan University,Wuhan 430072,Hubei Province,China)
出处
《中国电机工程学报》
EI
CSCD
北大核心
2021年第24期8408-8423,共16页
Proceedings of the CSEE
基金
国家自然科学基金项目(51977156)。
关键词
耦合电力–交通网
动态流量均衡
混合动态用户均衡
不动点映射
有限维变分不等式
coupled power-transportation network
dynamic flow equilibrium
mixed dynamic user equilibrium
fixed-point mapping
finite-dimensional variational inequality
